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Finding the Fourth Proportional to 97,676, 134,792.88 and 52,964

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Solution

The fourth proportional to 97,676, 134,792.88 and 52,964 is: 73,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676 : 134,792.88 = 52,964 : x
  2. Step 2: Convert to fraction form
    97,676/134,792.88 = 52,964/x
  3. Step 3: Cross multiply
    97,676x = 134,792.88 × 52,964
  4. Step 4: Simplify right side
    97,676x = 7,139,170,096.32
  5. Step 5: Solve for x
    x = 7,139,170,096.32/97,676
  6. Step 6: Final answer
    x = 73,090.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.